self-similar

adjective
UK /ˌself ˈsɪmɪlə/
US /ˌself ˈsɪmələr/

Something is self-similar when small parts of it look just like the whole thing.

A fern leaf is self-similar because each tiny piece looks like the whole leaf.


OTHER MEANINGS

2. In math, a shape or pattern that looks the same when you zoom in or out.

The Sierpinski triangle is self-similar at every level of zoom.

3. Having parts that copy the structure of the whole object.

The coastline showed self-similar features at many different scales.

4. Describing a system where smaller pieces repeat the same design as the larger one.

The branching of a tree is self-similar from trunk to twig.